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Appl Opt. 2008 Jul 1;47(19):3481-93.

Discrete diffraction transform for propagation, reconstruction, and design of wavefield distributions.

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Signal Processing Institute, University of Technology of Tampere, Tampere, Finland.


A discrete diffraction transform (DDT) is a novel discrete wavefield propagation model that is aliasing free for a pixelwise invariant object distribution. For this class of distribution, the model is precise and has no typical discretization effects because it corresponds to accurate calculation of the diffraction integral. A spatial light modulator (SLM) is a good example of a system where a pixelwise invariant distribution appears. Frequency domain regularized inverse algorithms are developed for reconstruction of the object wavefield distribution from the distribution given in the sensor plane. The efficiency of developed frequency domain algorithms is demonstrated by simulation.

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